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Finding the Fourth Proportional to 2,379.65, 3,280.64 and 2,307.02

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Solution

The fourth proportional to 2,379.65, 3,280.64 and 2,307.02 is: 3,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.65 : 3,280.64 = 2,307.02 : x
  2. Step 2: Convert to fraction form
    2,379.65/3,280.64 = 2,307.02/x
  3. Step 3: Cross multiply
    2,379.65x = 3,280.64 × 2,307.02
  4. Step 4: Simplify right side
    2,379.65x = 7,568,474.15
  5. Step 5: Solve for x
    x = 7,568,474.15/2,379.65
  6. Step 6: Final answer
    x = 3,180.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.